Police outside the scene of a home invasion where a man was shot numerous times on the 800 block of South Clinton Avenue yesterday.Alex Zdan /The Times

TRENTON — A man who was shot numerous times during an apparent home invasion Tuesday afternoon remains in the hospital in critical condition, police said today.

The unidentified victim suffered severe injuries in the shooting at a home on the 800 block of South Clinton Avenue, after three masked men charged in and demanded money, Lt. Steve Varn said.

Neighborhood residents have said they have seen activity around the home indicating it was a brothel. A home two doors down was the site of a police raid and arrests for prostitution in July, and of a murder in September.

Varn would not say whether police believe the location of Tuesday’s shooting was operating as a brothel. But he said investigators were looking into connections to the homicide in September and to another killing in a brothel two blocks away.

“Obviously, we’re looking at the possibility of that,” he said yesterday.

No arrests have been made in those investigations, Varn said.

Police are also trying to identify the shooting victim, who was described as a Hispanic man in his late 40s or early 50s.

Others who were in the home during the home invasion were not hurt. Varn declined to say how many people were there or to describe them, but at least one man was seen seated in the back of a police vehicle immediately after the shooting.

Everyone who was inside the home was taken to police headquarters and interviewed. No charges have been filed, Varn said.

Police believe the three assailants fled on foot out of the rear of the home and into a back alley. Full descriptions were not available.

Anyone with information on the case is asked to call police at (609) 989-4170 or the Confidential Tip Line at (609) 989-3663.